• Title/Summary/Keyword: soft k-product

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SOFT INTERSECTION AND SOFT UNION k-IDEALS OF HEMIRINGS AND THEIR APPLICATIONS

  • Anjum, Rukhshanda;Lodhi, Aqib Raza Khan;Munir, Mohammad;Kausar, Nasreen
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.263-281
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    • 2022
  • The main aim of this paper is to discuss two different types of soft hemirings, soft intersection and soft union. We discuss applications and results related to soft intersection hemirings or soft intersection k-ideals and soft union hemirings or soft union k-ideals. The deep concept of k-closure, intersection and union of soft sets, ∧-product and ∨-product among soft sets, upper 𝛽-inclusion and lower 𝛽-inclusion of soft sets is discussed here. Many applications related to soft intersection-union sum and soft intersection-union product of sets are investigated in this paper. We characterize k-hemiregular hemirings by the soft intersection k-ideals and soft union k-ideals.

SOFT SOMEWHERE DENSE SETS ON SOFT TOPOLOGICAL SPACES

  • Al-shami, Tareq M.
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1341-1356
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    • 2018
  • The author devotes this paper to defining a new class of generalized soft open sets, namely soft somewhere dense sets and to investigating its main features. With the help of examples, we illustrate the relationships between soft somewhere dense sets and some celebrated generalizations of soft open sets, and point out that the soft somewhere dense subsets of a soft hyperconnected space coincide with the non-null soft ${\beta}$-open sets. Also, we give an equivalent condition for the soft csdense sets and verify that every soft set is soft somewhere dense or soft cs-dense. We show that a collection of all soft somewhere dense subsets of a strongly soft hyperconnected space forms a soft filter on the universe set, and this collection with a non-null soft set form a soft topology on the universe set as well. Moreover, we derive some important results such as the property of being a soft somewhere dense set is a soft topological property and the finite product of soft somewhere dense sets is soft somewhere dense. In the end, we point out that the number of soft somewhere dense subsets of infinite soft topological space is infinite, and we present some results which associate soft somewhere dense sets with some soft topological concepts such as soft compact spaces and soft subspaces.

LATTICE ORDERED FUZZY SOFT GROUPS

  • Mahmood, Tahir;Shah, Naveed Ahmad
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.457-486
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    • 2018
  • In several fields the soft set theory has a very vast range uses and applications. A soft group is a proper family of subgroups and a fuzzy soft group is a proper family of fuzzy subgroups. Here in this paper the concept of lattice ordered fuzzy soft groups is introduced. Also its some properties are studied and discussed. In addition, the defintion of lattice order fuzzy soft right (left) cosets and lattice order soft product of fuzzy soft subgroups and some related results are discussed to clear these ideas.

COMPUTER SIMULATION OF MAGNETIC PROPERRTIES OF SPRING MAGNETS

  • Kitajima, N.;Inoue, H.;Kanai, Y.;Fukunaga, H.
    • Journal of the Korean Magnetics Society
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    • v.5 no.5
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    • pp.404-407
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    • 1995
  • Magnetic properties of model exchange-spring magnets, which are composed of magnetically soft and hard grains, were calculated by means of computer simulation. The dependence of the magnetic properties on the strength of intergrain exchange interaction and the amount of soft grains was studied. The existence of soft grains enhanced the remanence remarkably, and the remanence over $0.8M_{s}$ was obtained in the model magnets containing 25% or more soft grains by volume. The calculated coercivity vs. the strength of the exchange interaction curves showed a peak at a critical strength of the exchange interaction, although the remanence increased monotonously with increase in the strength of the exchange interaction. Thus the maximum energy product also reached a peak around the same critical strength. The calculated maximum energy product exceeded $300kJ/m^{3}$ when the magnet is assumed to be composed of $Fe_{3}B$ and $Nd_{2}Fe_{14}B$.

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The Effects of Favorable and Friendly in Emotion of Product Design

  • Zhang, Lin;Hyoung, Sung-Eun;Hong, Jung-Pyo
    • Science of Emotion and Sensibility
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    • v.15 no.2
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    • pp.223-230
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    • 2012
  • This study researched the relationship between the element of "Favorable and Friendly" emotion on product design and the consumer's reaction to it. The emotional elements used here were proposed in the existing study. The research method was divided into 1st test and 2nd test. In the 1st test result, Favorable was related to "want to own, simple, new product and high-class", and also connected with "digital product, gaming product and computers". The products related to Friendly had association with the items about "interesting, cute, familiar, warmth and soft", and also connected with "simple product (toylike, household items, etc), low-price product, product which likes a friend, soft product, kitchen product and beauty treatments product, and so on". In the 2nd test, the preference of emotional product was high than general product, and it was known from the evaluation about design preference and design elements. If the preference was high following the order as: "Formativeness> Trend> Aesthetics> Color", the difference among the scores were small. And then the result about the relationship of emotional design factor "Favorable & Friendly" and evaluation of design preference & design elements was extraction.

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Effects of Various Formulations on Bioavailability of Acetaminophen Soft Gelatin Capsules in Rabbits (토끼에서 아세트아미노펜 연집캅셀제의 생체이용율에 미치는 제제처방들의 영향)

  • Park, Gee-Bae;Lee, Yong-Suk;Choi, Myung-Ho;Lee, Do-Ik;Lee, Kwang-Pyo
    • YAKHAK HOEJI
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    • v.36 no.6
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    • pp.598-603
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    • 1992
  • The purpose of this study was to assess the effect of three formulations; product A (polyethylene glycol was used as a main dispersing agent), product B (wax mixture was used as a main dispersing agent) and product C(silicon dioxide was used as a main dispersing agent) on bioavailability of acetaminophen soft gelatin capsules(softgels) and to develop an effective acetaminophen softgel which exhibits an excellent bioavailability. Acetaminophen softgels of various formulations were prepared as 4 minim round type by rotary die method. Four softgels of the three formulation (A, B, C), each of which contained 50 mg acetaminophen, were administered orally to 12 normal healthy rabbits using a three-way cross over design. Plasma acetaminophen concentrations were measured by HPLC. The results obtained in this study were as follows: 1. The Tmax rank order of acetaminophen softgel was C$(63.75{\pm}10.62\;min)$>A$(36.25{\pm}5.37\;min)$>B$(35{\pm}6.74\;min)$. 2. The decreasing Cmax order of softgel product was A$(93.51{\pm}0.55\;{\mu}g/ml)$>B$(3.16{\pm}0.37\;{\mu}g/ml)$>C$(2.6{\pm}0.55\;{\mu}g/ml)$. 3. The $[AUC]^{\infty}_0$ rank order for three acetaminophen softgel formulations was A $(14.89{\pm}1.56\;{\mu}g/ml{\cdot}min)$ >B$(14.39{\pm}1.43\;{\mu}g/ml{\cdot}min)$>C$(11.45{\pm}1.49\;{\mu}g/ml{\cdot}min)$. 4. Pharmacokinetic parameters such as Tmax, Cmax and $[AUC]^{\infty}_0$ of product A and B did not differ significantly(p>0.05). On the other hand, those of product C were significantly different(p>0.05).

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Soft Sensor Design Using Image Analysis and its Industrial Applications Part 1. Estimation and Monitoring of Product Appearance (화상분석을 이용한 소프트 센서의 설계와 산업응용사례 1. 외관 품질의 수치적 추정과 모니터링)

  • Liu, J. Jay
    • Korean Chemical Engineering Research
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    • v.48 no.4
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    • pp.475-482
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    • 2010
  • In this work, soft sensor based on image anlaysis is proposed for quantitatively estimating the visual appearance of manufactured products and is applied to quality monitoring. The methodology consists of three steps; (1) textural feature extraction from product images using wavelet transform, (2) numerical estimation of the product appearance through projection of the textural features on subspace, and (3) use of latent variables of textural features (i.e., numerical estimates of product appearance). The focus of this approach is on the consistent and quantitative estimation of continuous variations in visual appearance rather than on classification into discrete classes. This approach is illustrated through the application to the estimation and monitoring of the appearance of engineered stone countertops.

LLR Based Generalization of Soft Decision Iterative Decoding Algorithms for Block Turbo Codes (LLR 기반 블록 터보 부호의 연판정 복호 알고리즘 일반화)

  • Im, Hyun-Ho;Kwon, Kyung-Hoon;Heo, Jun
    • Journal of Broadcast Engineering
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    • v.16 no.6
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    • pp.1026-1035
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    • 2011
  • This paper presents generalization and application for the conventional SISO decoding algorithm of Block Turbo Codes. R. M. Pyndiah suggested an iterative SISO decoding algorithm for Product Codes, two-dimensionally combined linear block codes, on AWGN channel. It wascalled Block Turbo Codes. Based on decision of Chase algorithm which is SIHO decoding method, SISO decoder for BTC computes soft decision information and transfers the information to next decoder for iterative decoding. Block Turbo Codes show Shannon limit approaching performance with a little iteration at high code rate on AWGN channel. In this paper we generalize the conventional decoding algorithm of Block Turbo Codes, under BPSK modulation and AWGN channel transmission assumption, to the LLR value based algorithm and suggest an application example such as concatenated structure of LDPC codes and Block Turbo Codes.